Math Problem Statement

  1. On a six-sided die, each side has a number between 1 and 6. What is the probability of throwing a 3 or a 4?

Solution

To find the probability of rolling a 3 or a 4 on a six-sided die, follow these steps:

  1. There are 6 sides on a die, each equally likely.
  2. The numbers 3 and 4 are two possible outcomes.
  3. The probability of rolling a specific number is 16\frac{1}{6}.
  4. Since the die has two favorable outcomes (3 and 4), the combined probability is: P(3 or 4)=P(3)+P(4)=16+16=26=13.P(\text{3 or 4}) = P(3) + P(4) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}.

So, the probability of throwing a 3 or a 4 is 13\frac{1}{3}.

Would you like more details on probability calculations?

Here are 5 related questions:

  1. What is the probability of rolling an even number on a six-sided die?
  2. What is the probability of rolling a number less than 5 on a six-sided die?
  3. What is the probability of rolling a 2 or a 6 on a six-sided die?
  4. What is the probability of rolling a number greater than 4?
  5. How would the probability change if the die were biased?

Tip: To calculate probabilities, remember that for mutually exclusive events, you add their probabilities.

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Math Problem Analysis

Mathematical Concepts

Probability
Mutually Exclusive Events

Formulas

P(event) = number of favorable outcomes / total number of outcomes
P(A or B) = P(A) + P(B) for mutually exclusive events

Theorems

Addition Rule of Probability

Suitable Grade Level

Grades 5-7